The number of all possible matrices of order \(3 \times 3\) with each entry 2 or 3 is:

Which of the following statements are correct?
(A) If elements of a row (or column) of a determinant are multiplied with cofactors of any other row (or column), then their sum is zero.
(B) The value of determinant is equal to the sum of the product of elements of any row (or column) with their corresponding cofactors.
(C) If any two rows (or columns) of a determinant are interchanged, their sign of determinant does not change.
(D) The value of determinant remains unchanged if its rows and columns are interchanged.
(E) A square matrix A has inverse if and only if A is singular.
Choose the correct answer from the options given below:

consider the linear programming problem: Maximise \(z=3 x+y\) subject to the constraints \(x+y \leq 6, x \geq 0, y \geq 0\). Which of the following statements are true?
(A) \(x \geq 0, y \geq 0\) are non-negative restrictions.
(B) The point \((1,1)\) does not lie in the half plane \(x+y \leq 6\).
(C) There are 2 corner points of the feasible region of given LPP.
(D) Maximum value of \(z\) is 18.
Choose the correct answer from the options given below:

If \(\mathbf{A}=\left[\begin{array}{ccc}0 & 0 & \sqrt{7} \\ 0 & \sqrt{7} & 0 \\ \sqrt{7} & 0 & 0\end{array}\right]\), then \(|\operatorname{adj} \mathbf{A}|\) is equal to

If \(\left[\begin{array}{ccc}a-b & 0 & 0 \\ 0 & b-c & 0 \\ 0 & 0 & c-2\end{array}\right]\) is a scalar matrix such that a + b + c = 0, then, which of the following are TRUE?
(A) a = 0
(B) b = 0
(C) a = 1
(D) c = 1
Choose the correct answer from the options given below:

The value of b , for which the function \(f(x)= \begin{cases} 5x - 4, & 0 < x \leq 1 \\ 4x^2 + 3bx, & 1 < x < 2 \end{cases}\), is continuous at every point of its domain is :

The standard deviation of a sampling distribution of a statistic is also known as:

The Medical Termination of Pregnancy (Amendment) Act, 2017 was enacted by the government of India with the intention of___________.

The objective of a reflecting telescope is a :

The synthesis of alkyl fluoride is best accomplished by the following reaction:
\(CH_3Br + AgF\rightarrow CH_3F + AgBr\)
The reaction is termed as:

Arrange the following in the increasing order of their energy gap between their conduction and valence bands:
(A) Si
(B) C (diamond)
(C) Ge
(D) Sn
choose the correct answer from the options given below:

Which hormone is responsible for ovulation in human females?

Miller's experiment provided evidence for: